Algebra 2 6-5 Guided Practice: Solving Square Root and Other Radical Equations
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Last updated about 3 years ago
26 questions
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Question 1
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Question 2
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Question 3
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Question 5
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Question 9
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Question 11
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Question 14
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Question 16
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Question 17
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Take Note: What is an extraneous solution?
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Question 20
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Question 22
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Question 23
23.
Take Note: How can graphs be used to identify extraneous solutions?
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Question 26
26.
🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
Video Check: Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
Solve It! You are a passenger in the car. You are using a cell phone that connects with the cell phone tower shown. The tower has an effective range of 6 mi. How many miles do you have to finish your call?
You have about 5.2 mi to finish your call.
You have 3 mi to finish your call.
You have about 25.7 mi to finish your call.
Video Check: Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
Question 4
4.
Take Note: What is a radical equation?
Take Note: Provide an example of a simplified radical equation with an index of 3 that includes only one variable.
Question 6
6.
Take Note: Summarize the process for solving a radical equation.
Question 7
7.
Take Note: What is a square root equation?
Question 8
8.
Take Note: Provide an example of a square root equation that includes only 1 variable.
Take Note: Consider the radical equation \sqrt[5]{2x}-4=0.
Identify the steps necessary to isolate the variable.
Raise both sides to the \frac{1}{5} power
Multiply both sides by 2
Divide both sides by 2
Subtract 4 from each side
Apply \sqrt[5]{} to both sides
Add 4 to each side
Raise both sides to the 5th power
Step 1
Step 2
Step 3
Question 10
10.
Video Check: Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
Question 12
12.
Question 13
13.
Video Check: Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
Question 15
15.
Video Check: Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
Question 18
18.
Question 19
19.
Take Note: How can you identify extraneous solutions?
Problem 4 Got It? Solve the radical equation. Check your results for extraneous solutions.
x = 10
x = 0, x = 1
x = 1, x = 10
x = 1
Video Check: Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
Question 24
24.
Take Note: Summarize the process for solving an equation containing two radical expressions.
Question 25
25.
Problem 1 Got It?
A
B
C
D
Take Note: Which step isolatesx in the radical equation below?
Raise both sides to the \frac{3}{2} power.
Raise both sides to the \frac{2}{3}
power.
Apply \sqrt[3]{} to both sides.
Apply \sqrt{} to both sides.
Problem 2 Got It?
A
B
C
D
Problem 3 Got It?
A
B
C
D
Take Note: Are extraneous solutions values that work in the related (aka original) equation?
